Will the linear velocity of a particle rotating with a constant angular speed about a non-fixed axis be constant? Why?
(B) No,the linear velocity will not be constant.
Although the angular speed is constant,the direction of the axis of rotation is not fixed.
Since the linear velocity $\vec{v} = \vec{\omega} \times \vec{r}$,and the direction of the angular velocity vector $\vec{\omega}$ changes as the axis of rotation changes,the direction of the linear velocity $\vec{v}$ will also change.
Therefore,the linear velocity is not constant.
Although the angular speed is constant,the direction of the axis of rotation is not fixed.
Since the linear velocity $\vec{v} = \vec{\omega} \times \vec{r}$,and the direction of the angular velocity vector $\vec{\omega}$ changes as the axis of rotation changes,the direction of the linear velocity $\vec{v}$ will also change.
Therefore,the linear velocity is not constant.
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